Improvement on generalised synchronisation of chaotic systems

doi:10.1088/1674-1056/19/3/030515

中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30515-030515.doi: 10.1088/1674-1056/19/3/030515

Improvement on generalised synchronisation of chaotic systems

朱会宾¹, 崔宝同¹, 邱芳²

(1)College of Communications and Control Engineering, Jiangnan University, Wuxi 214122, China; (2)College of Communications and Control Engineering, Jiangnan University, Wuxi 214122, China;Department of Mathematics, Binzhou University, Binzhou 256603, China

收稿日期:2009-06-06 修回日期:2009-09-14 出版日期:2010-03-15 发布日期:2010-03-15
基金资助:
Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2007016).

Improvement on generalised synchronisation of chaotic systems

Zhu Hui-Bin(朱会宾)^a)^†,Qiu Fang(邱芳)^a)b), and Cui Bao-Tong(崔宝同)^a)

^a College of Communications and Control Engineering, Jiangnan University, Wuxi 214122, China; ^b Department of Mathematics, Binzhou University, Binzhou 256603, China

Received:2009-06-06 Revised:2009-09-14 Online:2010-03-15 Published:2010-03-15
Supported by:
Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2007016).

摘要/Abstract

摘要： In this paper, the problem of generalised synchronisation of two different chaotic systems is investigated. Some less conservative conditions are derived using linear matrix inequality other than existing results. Furthermore, a simple adaptive control scheme is proposed to achieve the generalised synchronisation of chaotic systems. The proposed method is simple and easy to implement in practice and can be applied to secure communications. Numerical simulations are also given to demonstrate the effectiveness and feasibility of the theoretical analysis.

Abstract: In this paper, the problem of generalised synchronisation of two different chaotic systems is investigated. Some less conservative conditions are derived using linear matrix inequality other than existing results. Furthermore, a simple adaptive control scheme is proposed to achieve the generalised synchronisation of chaotic systems. The proposed method is simple and easy to implement in practice and can be applied to secure communications. Numerical simulations are also given to demonstrate the effectiveness and feasibility of the theoretical analysis.

Key words: chaotic systems, generalised synchronisation, secure communication

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Pq (Numerical simulations of chaotic systems) 05.45.Gg (Control of chaos, applications of chaos) 05.45.Vx (Communication using chaos) 84.40.Ua (Telecommunications: signal transmission and processing; communication satellites)

朱会宾, 邱芳, 崔宝同. Improvement on generalised synchronisation of chaotic systems[J]. 中国物理B, 2010, 19(3): 30515-030515.

Zhu Hui-Bin(朱会宾),Qiu Fang(邱芳), and Cui Bao-Tong(崔宝同). Improvement on generalised synchronisation of chaotic systems[J]. Chin. Phys. B, 2010, 19(3): 30515-030515.

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Improvement on generalised synchronisation of chaotic systems

Improvement on generalised synchronisation of chaotic systems

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